Quasilinearization method for finite systems of nonlinear RL fractional differential equations

• Autorzy: Denton Zachary , Ramirez Juan Diego

Identyfikatory

DOI

10.7494/OpMath.2020.40.6.667

• Języki publikacji: EN

Abstrakty

EN

In this paper the quasilinearization method is extended to finite systems of Riemann-Liouville fractional differential equations of order 0 < q < 1. Existence and comparison results of the linear Riemann-Liouville fractional differential systems are recalled and modified where necessary. Using upper and lower solutions, sequences are constructed that are monotonic such that the weighted sequences converge uniformly and quadratically to the unique solution of the system. A numerical example illustrating the main result is given.

Słowa kluczowe

EN

fractional differential systems; lower and upper solutions; quasilinearization method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 6
• Strony: 667–--683
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Denton Zachary

• North Carolina A&T State University Department of Mathematics and Statistics 1601 E Market St, Greensboro, NC 27411, USA

autor

Ramirez Juan Diego

• Brenau University Department of Mathematics and Science 500 Washington St SE, Gainesville, GA 30501, USA

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)